λ
Prime Ledger

968,961

3 × 7 × 46141
Deficient Odd Composite

968,961 has the prime decomposition 3 × 7 × 46141. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 46141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,476,544
Proper Divisor Sum 507,583
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #968959 ← → #968963

Radix Representation

Decimal 968961
Binary 11101100100100000001 (20 bits)
Octal 0o3544401
Hexadecimal 0xEC901

Divisor Catalog (8)

1 3 7 21 46,141 138,423 322,987 968,961

Collatz Trajectory (90 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

968,961 2,906,884 1,453,442 726,721 2,180,164 1,090,082 545,041 1,635,124 817,562 408,781 1,226,344 613,172 306,586 153,293 459,880 229,940 114,970 57,485 172,456 86,228 43,114 21,557 64,672 32,336 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

More profiles

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